In this talk, we will discuss how to construct a $C^*$-algebra from a partial $\mathbb{Z}$-action and a vector bundle on the domain of the action, using the machinery of Cuntz-Pimsner algebras. This generalizes partial crossed products by the integers, as well as the homeomorphisms twisted by vector bundles recently introduced by Adamo et. al. We will briefly adress how to show classifiability of these $C^*$-algebras.